olymmath

CWMO 2002 Problem 3

    In the complex plane, consider squares having the following property: the complex numbers its vertex correspond to are exactly the roots of integer coefficients equation x4+px3+qx2+rx+s=0x^4 + px^3 + qx^2 + rx + s = 0 . Find the minimum of square areas.

    Dataset text AI-MO AoPS. Quoted with source.

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